Question

Please help me
I dont understand this

Answer 1

`y=-5(x+2)-1`

`y=-5(x+3)+4`

Explanation:

Two points on the line are (-3, 4) and (-2, -1)

Therefore:

`\textsf{let}\:(x_1,y_1)=(-3,4)`

`\textsf{let}\:(x_2,y_2)=(-2,-1)`

`\textsf{slope}\:(m)=(y_2-y_1)/(x_2-x_1)=(-1-4)/(-2-(-3))=-5`

Point-slope form of linear equation:
`y-y_1=m(x-x_1)`

Substituting point (-3, 4) in the point-slope equation:

`\implies y-4=-5(x-(-3))`

`\implies y=-5(x+3)+4`

Substituting point (-2, -1) in the point-slope equation:

`\implies y-(-1)=-5(x-(-2))`

`\implies y=-5(x+2)-1`